• Title/Summary/Keyword: normal holonomy group.

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NORMAL HOLONOMY GROUP OF A RIEMANNIAN FOLIATIO $N^*$

  • Pak, Hong-Kyung;Pak, Jin-Suk
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.17-23
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    • 1993
  • In this paper, we will discuss on the above problem for the case that .upsilon. is a Riemannian foliation. If .upsilon. is a Riemannian foliation on (M, g), we derive some basic relations between the curvature $R^{D}$ of the normal connection D and the curvature R of the Levi-Civita connection .del. on (M, g) (see Lemma 1).).

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